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Padmanabhan, Rept

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abstract

The fact that one can associate thermodynamic properties with horizons brings together principles of quantum theory, gravitation and thermodynamics and possibly offers a window to the nature of quantum geometry. This review discusses certain aspects of this topic concentrating on new insights gained from some recent work. After a brief introduction of the overall perspective, Sections 2 and 3 provide the pedagogical background on the geometrical features of bifurcation horizons, path integral derivation of horizon temperature, black hole evaporation, structure of Lanczos-Lovelock models, the concept of Noether charge and its relation to horizon entropy. Section 4 discusses several conceptual issues introduced by the existence of temperature and entropy of the horizons. In Section 5 we take up the connection between horizon thermodynamics and gravitational dynamics and describe several peculiar features which have no simple interpretation in the conventional approach. The next two sections describe the recent progress achieved in an alternative perspective of gravity. In Section 6 we provide a thermodynamic interpretation of the field equations of gravity in any diffeomorphism invariant theory and in Section 7 we obtain the field equations of gravity from an entropy maximization principle. The last section provides a summary.

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representative citing papers

Frame invariant diffusive formulation of scalar-tensor gravity

gr-qc · 2026-04-17 · unverdicted · novelty 7.0

Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.

Observational constraints on Luciano-Saridakis entropic cosmology

astro-ph.CO · 2026-03-03 · unverdicted · novelty 6.0

First background-level constraints on Luciano-Saridakis entropic cosmology using CC, Pantheon+ with SH0ES, DESI DR2 BAO and compressed Planck data show robust fit, 2sigma exclusion of LambdaCDM, and potential Hubble tension alleviation.

Landauer entropy of spacetime

gr-qc · 2026-05-21 · unverdicted · novelty 5.0

A geometrical entropy for static spherically symmetric spacetimes is defined from Landauer's principle applied to geodesic congruences, obeys a second law, and equals Bekenstein-Hawking entropy.

Uncertainty Principles and Maximum Entropic Force

gr-qc · 2026-05-08 · unverdicted · novelty 4.0

Quantum gravity corrections via GUP, EUP, GEUP and LQGUP make the maximum entropic force depend on the uncertainty principles' dimensionless parameters and, for EUP, on the number of Planck areas composing the effective area.

Black hole chemistry: thermodynamics with Lambda

hep-th · 2016-08-22 · accept · novelty 3.0

Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.

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